A STABILITY PROPERTY OF CRITICAL VALUES IN EQUIVARIANT CONTEXT

Abstract

In the first section basic notions in the theory of Hilbert Riemann manifolds are given. The main results are contained in Theorem 3.1 and Theorem 3.2 and represent the equivariant version of those given in our paper. Some variants are presented in Corollary 3.1-3.4. An application to the closed geodesics is given in the last section.